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20747430 = 232511191103
BaseRepresentation
bin100111100100…
…1010010100110
31110001002010100
41033021102212
520302404210
62020404530
7341231064
oct117112246
943032110
1020747430
1110790940
126b46746
1343b56b2
142a81034
151c4c5c0
hex13c94a6

20747430 has 96 divisors (see below), whose sum is σ = 62000640. Its totient is φ = 4760640.

The previous prime is 20747423. The next prime is 20747431. The reversal of 20747430 is 3474702.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20747394 and 20747403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20747431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18259 + ... + 19361.

It is an arithmetic number, because the mean of its divisors is an integer number (645840).

Almost surely, 220747430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20747430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31000320).

20747430 is an abundant number, since it is smaller than the sum of its proper divisors (41253210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20747430 is a wasteful number, since it uses less digits than its factorization.

20747430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 20747430 is about 4554.9346866887. The cubic root of 20747430 is about 274.7818876591.

The spelling of 20747430 in words is "twenty million, seven hundred forty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 418 495 570 627 855 990 1045 1103 1254 1710 1881 2090 2206 3135 3309 3762 5515 6270 6618 9405 9927 11030 12133 16545 18810 19854 20957 24266 33090 36399 41914 49635 60665 62871 72798 99270 104785 109197 121330 125742 181995 188613 209570 218394 230527 314355 363990 377226 461054 545985 628710 691581 943065 1091970 1152635 1383162 1886130 2074743 2305270 3457905 4149486 6915810 10373715 20747430